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Continuous Slowing Down Approximation (CS and DA) Ranges of Electrons and Positrons for Carbon, Aluminium and Copper

Author Affiliations

  • 1Department of physics, B. S. A. College, Mathura 281004, INDIA
  • 2 Department of physics, B.S.A.C.E.T., Mathura 281004, INDIA
  • 3 Department of physics, Panjab University, Chandigarh 160014, INDIA

Res. J. Recent Sci., Volume 1, Issue (6), Pages 70-76, June,2 (2012)


In this paper we present a relation for continuous slowing down approximation (CSDA) ranges for electrons and positrons of Carbon, Aluminium and Copper in terms of energy from 700 keV to 50000 keV and have been fitted by a second order polynomial approximation with two parameters. These parameters depend upon the atomic weight (A) and atomic number (Z) of the absorber. It has been found that the polynomial potential function gives better agreement with the available experimental data.


  1. Tan Z., Xia Y., Zhao M., Liu X., Li F., Huang B. and Ji Y., Electron stopping power and mean free path in organic compounds over the energy range of 2010 000 eV., Nucl. Instrum. Meth., B, 222, 2743 (2004)
  2. Gumus H., Simple stopping power formula for low and intermediate energy electrons, Radiat. Phys. Chem. 72, 712 (2005)
  3. Akkerman A. and Akkerman E., Characteristics of electron inelastic interactions in organic compounds and water over the energy range 2010 000 eV. J. Appl. Phys., 86, 58095816 (1999)
  4. Dingfelder M., Hantke D., Inokuti M. and Paretzke H.G., Electron inelastic scattering cross sections in liquid water, Radiat. Phys. Chem., 53, 118 (1998)
  5. Verne J. and Pimblott M.S., Electron energy-loss distributions in solid, Dry DNA, Radiat Res., 141, 208215 (1995)
  6. Inokuti M., Inelastic collisions of fast charged particles with atoms and molecules-the Bethe theory revisited, Rev. Mod. Phys., 43, 297347 (1971)
  7. Nelms A., Energy loss and Ranges of electrons and positrons NBS circular no. 577 (1956)
  8. Rohrlich F. and Carlson B.C., Positron-Electron Differences in Energy Loss and Multiple Scattering, Phys. Rev.93, 38 (1954)
  9. Chaun-Jong Tung et al, CSDA Ranges of Electrons in Metals,Chinese J. Physics, 17, 1-11 (1979)
  10. Berger M.J. and Seltzer S.M., Tables of energy losses and ranges of electron and positron, NASA SP-3012 (1982)
  11. Gupta S.K., Gupta D.K. and Japanese J., Applied Physics, An Empirical Equation for the c.s.d.a. Range Difference of 0.2- to 10-MeV Electrons, 19, 1-3 (1980)
  12. Tan D. and Heaton B., Applied Radiation and Isotope, Simple empirical relations for electron CSDA range and electron energy loss, 45 527-28 (1994)